Find the value of x from this figure

Mathematics

2 answers:

RSB [31]2 years ago

7 0

Interior angles sum: 180(sides - 2) = 180

180 - (102 + 45) = 33

Your answer: 33

Leno4ka [110]2 years ago

4 0

X = 33

The angles in a triangle must add up to 180 degrees

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In a certain college, 33% of the physics majors belong to ethnic minorities. Of 8 students are selected at random from the physi

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Answer: 0.0187

Step-by-step explanation:

The binomial distribution formula for probability :-

$P(x)=^nC_xp^x(1-p)^{n-x}$ , where P(x) is the probability of getting success in x trials , n is the total number of trials and p is the probability of getting success in each trial.

Given : The probability that the physics majors belong to ethnic minorities =0.33

Number of students selected : n= 8

Now, the probability that more than 5 belong to an ethnic minority :-

$P(x>5)=P(6)+P(7)+P(8)\\\\=^8C_6(0.33)^6(0.67)^{2}+^8C_7(0.33)^7(0.67)^{1}+^8C_8(0.33)^8(0.67)^{0}\\\\=(\dfrac{8!}{6!2!})(0.33)^6(0.67)^{2}+(8)(0.33)^7(0.67)^{1}+(0.33)^8(0.67)^{0}\\\\=0.0186577086013\approx0.0187$